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3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance

S. Manzoor, M.G. Edwards, A.H. Dogru, T.M. Al-Shaalan, Michael G. Edwards

Swansea University Author: Michael G. Edwards

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DOI (Published version): 10.3997/2214-4609.201601786

Abstract

This paper presents new methods for grid generation in reservoir simulation, together with a study of comparative performance of cell-vertex versus cell-centred CVD-MPFA finite-volume formulations using equivalent degrees of freedom. Classical key geological features and multilateral wells must be h...

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ISSN: 2214-4609
Published: ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa31845
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spelling 2019-08-06T16:04:34.8115164 v2 31845 2017-02-01 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance 8903caf3d43fca03602a72ed31d17c59 Michael G. Edwards Michael G. Edwards true false 2017-02-01 FGSEN This paper presents new methods for grid generation in reservoir simulation, together with a study of comparative performance of cell-vertex versus cell-centred CVD-MPFA finite-volume formulations using equivalent degrees of freedom. Classical key geological features and multilateral wells must be honored by the grids, with control-volume faces aligned with the features. For the purpose of grid generation, the geological features are classified into two groups; 1) involving layers, faults, pinchouts and fractures, and 2) involving well distributions. In the former, control-volume boundary aligned grids(BAGs) are required, while in the latter, control-point well aligned grids(WAGs) are required. In reservoir simulation a choice of grid type and consequent control-volume type is made, i.e. either primal or dual-cells are selected as control-volumes. Regardless of control-volume type, the control-point is defined as the centroid of the control-volume. Three-dimensional unstructured grid generation methods are proposed that automate control-volume boundary alignment to geological features and control point alignment to wells, yielding essentially PEBI-meshes either with respect to primal or dual-cells depending on grid type. In the grid generation methods presented, for both primal and dual-cell feature based meshes, both frameworks use primal-cells (tetrahedra, pyramids, prisms and hexahedra) as grid elements. Dual-cell feature honored grids are derived from underlying primal-meshes such that features are recovered in the dual-setting. Geological features are honored by using the idea of protection spheres, and protection halos around key geological features. Halo construction requires the use of prisms and/or hexahedra. Pyramids are used as transition elements providing interfaces between quad faces of the halo elements and triangular faces of the main tetra-mesh. Novel pyramid transition elements are generated in an unstructured mesh together with a novel technique for ensuring fully constrained recovery of geological features is proposed. The grids generated are employed to study comparative performance of cell-vertex versus cell-centred CVD-MPFA finite-volume formulations using equivalent degrees of freedom. The benefits of both types of approximation are presented in terms of flow resolution relative to the respective degrees of freedom employed. The cell-vertex formulation proves to be the most beneficial with respect to accuracy and efficiency. Conference Paper/Proceeding/Abstract ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery 2214-4609 29 8 2016 2016-08-29 10.3997/2214-4609.201601786 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-08-06T16:04:34.8115164 2017-02-01T18:03:53.1034460 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised S. Manzoor 1 M.G. Edwards 2 A.H. Dogru 3 T.M. Al-Shaalan 4 Michael G. Edwards 5
title 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
spellingShingle 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
Michael G. Edwards
title_short 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
title_full 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
title_fullStr 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
title_full_unstemmed 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
title_sort 3D Geological Feature Honored Cell-centered and Vertex-centered Unstructured Grid Generation, and CVD-MPFA Performance
author_id_str_mv 8903caf3d43fca03602a72ed31d17c59
author_id_fullname_str_mv 8903caf3d43fca03602a72ed31d17c59_***_Michael G. Edwards
author Michael G. Edwards
author2 S. Manzoor
M.G. Edwards
A.H. Dogru
T.M. Al-Shaalan
Michael G. Edwards
format Conference Paper/Proceeding/Abstract
publishDate 2016
institution Swansea University
issn 2214-4609
doi_str_mv 10.3997/2214-4609.201601786
publisher ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
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description This paper presents new methods for grid generation in reservoir simulation, together with a study of comparative performance of cell-vertex versus cell-centred CVD-MPFA finite-volume formulations using equivalent degrees of freedom. Classical key geological features and multilateral wells must be honored by the grids, with control-volume faces aligned with the features. For the purpose of grid generation, the geological features are classified into two groups; 1) involving layers, faults, pinchouts and fractures, and 2) involving well distributions. In the former, control-volume boundary aligned grids(BAGs) are required, while in the latter, control-point well aligned grids(WAGs) are required. In reservoir simulation a choice of grid type and consequent control-volume type is made, i.e. either primal or dual-cells are selected as control-volumes. Regardless of control-volume type, the control-point is defined as the centroid of the control-volume. Three-dimensional unstructured grid generation methods are proposed that automate control-volume boundary alignment to geological features and control point alignment to wells, yielding essentially PEBI-meshes either with respect to primal or dual-cells depending on grid type. In the grid generation methods presented, for both primal and dual-cell feature based meshes, both frameworks use primal-cells (tetrahedra, pyramids, prisms and hexahedra) as grid elements. Dual-cell feature honored grids are derived from underlying primal-meshes such that features are recovered in the dual-setting. Geological features are honored by using the idea of protection spheres, and protection halos around key geological features. Halo construction requires the use of prisms and/or hexahedra. Pyramids are used as transition elements providing interfaces between quad faces of the halo elements and triangular faces of the main tetra-mesh. Novel pyramid transition elements are generated in an unstructured mesh together with a novel technique for ensuring fully constrained recovery of geological features is proposed. The grids generated are employed to study comparative performance of cell-vertex versus cell-centred CVD-MPFA finite-volume formulations using equivalent degrees of freedom. The benefits of both types of approximation are presented in terms of flow resolution relative to the respective degrees of freedom employed. The cell-vertex formulation proves to be the most beneficial with respect to accuracy and efficiency.
published_date 2016-08-29T03:38:56Z
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